Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Answer:
4
Step-by-step explanation:
To find the mean absolute deviation (MAD), first find the mean (or average).
μ = (59 + 71 + 68 + 75 + 67) / 5
μ = 68
Next, subtract the mean from each value and take the absolute value.
|59 − 68| = 9
|71 − 68| = 3
|68 − 68| = 0
|75 − 68| = 7
|67 − 68| = 1
Sum the results and divide by the number of students.
MAD = (9 + 3 + 0 + 7 + 1) / 5
MAD = 4
The first tile goes to 4p3q2
The second tile goes to 8pq5
The third tile goes to 4p2q5
The fourth tile goes to 8p2q
Answer:
Simplify the expression: 
Use the exponent power:
Apply the given rules;
Simplify:
then;
Therefore, the simplified expression of is, 
Answer:
What 108 represents here is that the total number of phones she has to fix each week is 108 phones
Step-by-step explanation:
The linear equation is
P = 108-23d
compare this with the general form;
y = mx + c
we have;
P = -23d + 108
We can see that 108 represents the y-intercept in this case
The x-value at the y-intercept is 0
So what this mean is that the number of phones she has to fix each week is 108
